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67682441 is a prime number
BaseRepresentation
bin1000000100011…
…00000010001001
311201100121212002
410002030002021
5114311314231
610414400345
71451201621
oct402140211
9151317762
1067682441
1135228902
121a8000b5
13110399a8
148dbb881
155e1e0cb
hex408c089

67682441 has 2 divisors, whose sum is σ = 67682442. Its totient is φ = 67682440.

The previous prime is 67682413. The next prime is 67682443. The reversal of 67682441 is 14428676.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45630025 + 22052416 = 6755^2 + 4696^2 .

It is a cyclic number.

It is not a de Polignac number, because 67682441 - 210 = 67681417 is a prime.

It is a super-4 number, since 4×676824414 (a number of 32 digits) contains 4444 as substring.

Together with 67682443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 67682395 and 67682404.

It is not a weakly prime, because it can be changed into another prime (67682443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33841220 + 33841221.

It is an arithmetic number, because the mean of its divisors is an integer number (33841221).

Almost surely, 267682441 is an apocalyptic number.

It is an amenable number.

67682441 is a deficient number, since it is larger than the sum of its proper divisors (1).

67682441 is an equidigital number, since it uses as much as digits as its factorization.

67682441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64512, while the sum is 38.

The square root of 67682441 is about 8226.9338759954. The cubic root of 67682441 is about 407.5291429093.

The spelling of 67682441 in words is "sixty-seven million, six hundred eighty-two thousand, four hundred forty-one".